Conformal field theory on super Riemann surfaces

Miscellaneous · Sun Jan 01 00:00:00 EST 1989

OSTI ID:5508708

Aoki, K

In this manuscript, some aspects of conformal field theory on super Riemann surfaces are analyzed. The main objective of this work is to compute quantities in conformal field theory that are also of interest to string theory. The calculations are carried out in superspace, independently of the bose case or the component formulation. After the first introductory chapter, the theory of super Riemann surfaces and super conformal field theory is briefly reviewed in chapters 2 and 3. In chapter 4, the partition functions of the free super conformal field theory models, which reduce to the determinants of the laplacians for tensors, are computed on the higher genus super Riemann surfaces. In particular, these include the partition functions needed to calculate the measure for the superstring propagation in flat spacetime. In section 5, the correlation of Z{sub N} super twist fields are calculated on the super sphere, and the partition function of orbifold models are calculated on the higher genus super Riemann surfaces. The degeneration behavior of these partition functions is when analyzed and the spectrum of the twist fields for the general orbifolds of the toroidal models is derived. In section 6, the Knizhnik-Zamolodchikov differential equation of the Wess-Zumino-Witten model is generalized to the super differential equation satisfied by the correlation functions on super Riemann surfaces, and is used to derive the 4 point correlation function of the Wess-Zumino-Witten model on the super sphere.

• Research Organization: Princeton Univ., NJ (United States)
• OSTI ID: 5508708
• Resource Relation: Other Information: Thesis (Ph.D.)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
CONFORMAL INVARIANCE
CORRELATION FUNCTIONS
CORRELATIONS
DIFFERENTIAL EQUATIONS
LAPLACIAN
PARTITION FUNCTIONS
RIEMANN SPACE
SPACE-TIME
STRING MODELS
COMPOSITE MODELS
EQUATIONS
EXTENDED PARTICLE MODEL
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTICLE MODELS
QUARK MODEL
SPACE
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)